Which of the phrases given in the options should replace the word/phrase that is underlined in the sentence to make it grammatically correct? If the sentence is correct as it is given and no correction is required, select ‘No correction required’ as the answer.

In a study published in The Astrophysical Journal Letters, researchers led by Osaka University and NASA have used a combination of observations and modelling to determine how the planet-hosting probability varies near the distance from the Galactic centre.